Spectral Theory on the S-Spectrum for Quaternionic Operators

The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-function...

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Hlavní autor: Colombo, Fabrizio (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Operator Theory: Advances and Applications, 270
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ISBN:9783030030742
ISSN:0255-0156 ;
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Shrnutí:The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.
Popis jednotky:Mathematics and Statistics
Fyzický popis:IX, 356 p. online resource.
ISBN:9783030030742
ISSN:0255-0156 ;